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Finding the Fourth Proportional to 36.67, 50.53 and 24.38

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Solution

The fourth proportional to 36.67, 50.53 and 24.38 is: 33.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.67 : 50.53 = 24.38 : x
  2. Step 2: Convert to fraction form
    36.67/50.53 = 24.38/x
  3. Step 3: Cross multiply
    36.67x = 50.53 × 24.38
  4. Step 4: Simplify right side
    36.67x = 1,231.92
  5. Step 5: Solve for x
    x = 1,231.92/36.67
  6. Step 6: Final answer
    x = 33.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.